A124937 Number of solvable transitive Galois groups for polynomials of degree n.

1, 1, 2, 5, 3, 12, 4, 45, 30, 24, 4, 265, 6, 36, 64, 1905, 5, 892, 6, 759, 108, 32, 4, 24193, 132, 70, 2328, 1237, 6, 3816, 8

Offset: 1

Author

Artur Jasinski, Nov 13 2006

Keywords

• nonn
• more

Examples

			a(5) = 3: for polynomials of degree 5 we have 3 solvable groups: C5 (T5_1), D5 (T5_2) and F5(T5_3)
		

Links

• Bialostocki A. & Shaska T., Galois groups of prime degree polynomials with nonreal roots. arXiv:math/0601397

Crossrefs

Cf. A002106, A124938.

Programs

GAP

"a(15)= "; l:=AllTransitiveGroups(NrMovedPoints,15,IsSolvable,true); # Artur Jasinski, Feb 04 2007

Magma

// a(10)
for g in [1..45] do
G:=TransitiveGroup(10,g);
IsSolvable(G);
end for;

Extensions

More terms from Artur Jasinski, Feb 04 2007